Karnaugh Maps Discussion D6.2 Appendix H

Karnaugh Maps Minterm x y f m m m m x y f(x,y) = m0 | m2 | m3 =  (0,2,3) = x | ~y

Karnaugh Maps Minterm x y f m m m m x y f(x,y) =  (0,2,3) = ~x & ~y | x & ~y | x & y = ~x & ~y | x & ~y | x & ~y | x & y = (~x | x) & ~y | x & (~y | y) = ~y | x

Three-variable K-Maps x yz f = ~x & ~y | x & z

Three-variable K-Maps x yz f = ~x & ~y & ~z | ~x & ~y & z | x & ~y & z | x & y & z f = ~x & ~y & (~z | z) | x & z & (~y | y) = ~x & ~y | x & z

Three-variable K-Maps x yz f = y & ~z | x 1

Three-variable K-Maps x yz f = ~x & ~y | x & y | z

Three-variable K-Maps x yz f = x & z | ~x & ~z

Three-variable K-Maps x yz f = y | ~z

Three-variable K-Maps x yz f = m0 | m2 | m5 | m7 =  (0,2,5,7)

Four-variable K-Maps wx yz

Four-variable K-Maps wx yz f(w,x,y,z) =  (2,4,5,6,7,9,13,14,15)

Four-variable K-Maps wx yz f = ~w & x | x & y | ~w & y & ~z | w & ~y & z

Four-variable K-Maps wx yz f = ~w & z | w & x & y | ~x & ~z